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Further Mathematics

AI prompts for senior secondary learners.

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1,044 prompts matching "Why 2 root 3 and 5 root 3 count as similar surds"

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Summarise logarithms and indices for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise measures of dispersion for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Test me under exam conditions on surds

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su

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Give me memory tricks for Further Maths formulas

Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember

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Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

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Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

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Simplify the surd expression (2+sqrt5)^2

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Worked example: how many ways can a president and secretary be chosen from 8 people

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Real-life application of surds

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where surds

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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WAEC Prep: A quadratic with a repeated root

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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Common Mistakes: Writing down the roots once the brackets are found

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Worked Example: Halving the coefficient of x and squaring it

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